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234421690000 = 245431756199
BaseRepresentation
bin1101101001010010011…
…1110001111010010000
3211102002020202201020211
43122110213301322100
512320043423040000
6255405234213504
722636121326231
oct3322447617220
9742066681224
10234421690000
1190465a29393
1239523424294
131914b79c994
14b4bb88d088
15617036d7ba
hex36949f1e90

234421690000 has 100 divisors (see below), whose sum is σ = 585867462400. Its totient is φ = 90743760000.

The previous prime is 234421689961. The next prime is 234421690007. The reversal of 234421690000 is 96124432.

It is a happy number.

234421690000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2344216900002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (234421690007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68100 + ... + 688099.

It is an arithmetic number, because the mean of its divisors is an integer number (5858674624).

Almost surely, 2234421690000 is an apocalyptic number.

234421690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234421690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292933731200).

234421690000 is an abundant number, since it is smaller than the sum of its proper divisors (351445772400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234421690000 is an equidigital number, since it uses as much as digits as its factorization.

234421690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756258 (or 756237 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 234421690000 in words is "two hundred thirty-four billion, four hundred twenty-one million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 15500 19375 31000 38750 62000 77500 155000 310000 756199 1512398 3024796 3780995 6049592 7561990 12099184 15123980 18904975 23442169 30247960 37809950 46884338 60495920 75619900 93768676 94524875 117210845 151239800 187537352 189049750 234421690 302479600 375074704 378099500 468843380 472624375 586054225 756199000 937686760 945248750 1172108450 1512398000 1875373520 1890497500 2344216900 2930271125 3780995000 4688433800 5860542250 7561990000 9376867600 11721084500 14651355625 23442169000 29302711250 46884338000 58605422500 117210845000 234421690000